Remember you can do anything to an equation as long as you do it to both sides
x+9=18-2x
add 2x to both sides
2x+x+9=18+2x-2x
3x+9=18+0
3x+9=18
minus 9 both sides
3x+9-9=18-9
3x+0=9
3x=9
divide both sides by 3
(3x)/3=9/3
(3/3)x=3
1x=3
x=3
Answer: 460 students
Step-by-step explanation:
Based on the information given in the question, let the total number of students that attend I.S. 59 be represented by x.
Since we've been given the information that 230 signed up for the school picnic which was 50% of all students in the school. Then, the students in the school will be:
= 50% of x = 230
0.5 × x = 230
0.5x = 230
x = 230/0.5
x = 460
Therefore, 460 students attend the school.
Answer:
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Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle
<u>Step-by-step explanation:</u>
The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.
- If | k |> 1, the dilation is an extension.
- If | k | <1 it is reduction.
The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.
If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.
